TSTP Solution File: SWC028-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC028-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:47:22 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 198
% Syntax : Number of formulae : 272 ( 65 unt; 0 def)
% Number of atoms : 844 ( 134 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1109 ( 537 ~; 568 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 5 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 389 ( 389 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f260,f270,f286,f374]) ).
fof(f374,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f372,f244]) ).
fof(f244,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f372,plain,
( nil = sk1
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f369,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f369,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ spl0_1 ),
inference(resolution,[],[f82,f279]) ).
fof(f279,plain,
( rearsegP(nil,sk1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f277,f241]) ).
fof(f241,plain,
( nil = sk2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_1
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f277,plain,
( rearsegP(sk2,sk1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f241,f195,f271,f265,f272,f273,f274,f276]) ).
fof(f276,plain,
( rearsegP(sk2,sk1)
| nil = sk1 ),
inference(forward_demodulation,[],[f275,f190]) ).
fof(f275,plain,
( rearsegP(sk4,sk1)
| nil = sk1 ),
inference(forward_demodulation,[],[f257,f191]) ).
fof(f257,plain,
( nil = sk1
| rearsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f274,plain,
( nil = sk2
| ~ spl0_1 ),
inference(global_subsumption,[],[f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f241,f195,f271,f265,f272,f273]) ).
fof(f273,plain,
( rearsegP(sk2,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f261,f190]) ).
fof(f261,plain,
( rearsegP(sk4,sk1)
| nil = sk2 ),
inference(forward_demodulation,[],[f252,f191]) ).
fof(f252,plain,
( nil = sk2
| rearsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f272,plain,
( nil = sk2
| ~ spl0_1 ),
inference(global_subsumption,[],[f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f241,f195,f271,f265]) ).
fof(f265,plain,
( neq(sk1,nil)
| nil = sk2 ),
inference(forward_demodulation,[],[f248,f191]) ).
fof(f248,plain,
( nil = sk2
| neq(sk3,nil) ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f271,plain,
( nil != sk1
| ~ spl0_1 ),
inference(global_subsumption,[],[f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f241,f195]) ).
fof(f195,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f192,axiom,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f232,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f230,f201,f231,f202]) ).
fof(f231,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f230,f201]) ).
fof(f230,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f224,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f235,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f230,f201,f231,f202,f232,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f227,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225]) ).
fof(f225,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f211,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f210,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f226,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f234,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f230,f201,f231,f202,f232,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207]) ).
fof(f207,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f233,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f189,f187,f186,f188,f190,f191,f195,f192,f196,f197,f199,f11,f1,f2,f7,f5,f6,f3,f4,f9,f10,f8,f54,f47,f12,f16,f17,f30,f26,f25,f21,f31,f36,f45,f46,f35,f40,f41,f39,f38,f37,f42,f44,f43,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f48,f53,f52,f51,f50,f49,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f230,f201,f231,f202,f232,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206]) ).
fof(f206,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f205,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f228,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f229,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f202,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f201,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f200,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f199,axiom,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f197,axiom,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f196,axiom,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f286,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f284,f281]) ).
fof(f281,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f284,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f270,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f195,f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f263,f264,f266,f267,f268,f241]) ).
fof(f268,plain,
( nil != sk2
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f195,f245]) ).
fof(f267,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(global_subsumption,[],[f195,f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f263,f264,f266]) ).
fof(f266,plain,
( neq(nil,nil)
| nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[],[f265,f245]) ).
fof(f264,plain,
( rearsegP(sk2,nil)
| ~ spl0_2 ),
inference(global_subsumption,[],[f195,f196,f197,f199,f65,f64,f69,f68,f70,f67,f66,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f87,f88,f167,f165,f166,f90,f91,f164,f163,f200,f201,f202,f80,f82,f84,f76,f78,f75,f77,f109,f104,f229,f228,f110,f105,f107,f114,f106,f103,f108,f157,f205,f206,f233,f207,f234,f169,f149,f168,f131,f132,f119,f118,f123,f133,f226,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f151,f150,f210,f211,f225,f235,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f214,f158,f172,f215,f152,f153,f154,f216,f224,f177,f218,f219,f220,f221,f222,f223,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f230,f231,f232,f48,f49,f50,f51,f52,f53,f192,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f227,f263]) ).
fof(f263,plain,
( rearsegP(sk2,nil)
| nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[],[f262,f190]) ).
fof(f262,plain,
( rearsegP(sk4,nil)
| nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[],[f261,f245]) ).
fof(f245,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f260,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f258,f8]) ).
fof(f258,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f227,f251]) ).
fof(f251,plain,
( neq(nil,nil)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f250,f245]) ).
fof(f250,plain,
( neq(sk1,nil)
| spl0_1 ),
inference(forward_demodulation,[],[f249,f191]) ).
fof(f249,plain,
( neq(sk3,nil)
| spl0_1 ),
inference(subsumption_resolution,[],[f248,f240]) ).
fof(f240,plain,
( nil != sk2
| spl0_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f246,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f192,f243,f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC028-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:03:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (12044)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12047)WARNING: value z3 for option sas not known
% 0.14/0.38 % (12047)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (12045)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (12046)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (12049)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (12050)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (12048)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (12051)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (12047)First to succeed.
% 0.14/0.39 % (12047)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (12047)------------------------------
% 0.14/0.39 % (12047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (12047)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (12047)Memory used [KB]: 1189
% 0.14/0.39 % (12047)Time elapsed: 0.015 s
% 0.14/0.39 % (12047)Instructions burned: 32 (million)
% 0.14/0.39 % (12047)------------------------------
% 0.14/0.39 % (12047)------------------------------
% 0.14/0.39 % (12044)Success in time 0.011 s
%------------------------------------------------------------------------------